Secondary polytope and secondary power diagram

DOI10.1134/S0965542519120121zbMath1450.52010OpenAlexW2984114198MaRDI QIDQ2206384

Hang Si, Na Lei, Xianfeng Gu, Wei Chen, Zhong-xuan Luo

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519120121

zbMATH Keywords

power diagramconvex hullupper envelopesecondary polytopeweighted Delaunay triangulation

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polytopes and polyhedra (52B99)

Related Items (2)

The singularity set of optimal transportation maps ⋮ The Singularity Set of Optimal Transportation Maps

Cites Work

• Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations
• Constructions and complexity of secondary polytopes
• Construction of three-dimensional Delaunay triangulations using local transformations
• Triangulations. Structures for algorithms and applications
• On the difficulty of triangulating three-dimensional nonconvex polyhedra
• Simplicial moves on balanced complexes
• Optimal Triangular Mesh Generation by Coordinate Transformation
• Power Diagrams: Properties, Algorithms and Applications
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